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Putnam and Beyond

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Book Details

  • Author: Răzvan Gelca

  • Brand: Springer

  • Edition: 2nd ed. 2017

  • Binding: Paperback

  • Number of Pages: 850

  • Release Date: 03-10-2017

  • ISBN: 9783319589862

  • Package Dimensions: 10.0 x 7.1 x 2.0 inches

  • Languages: English

About The Book
Putnam and Beyond by Răzvan Gelca offers an in-depth exploration of college-level mathematics, focusing on core concepts such as polynomials, linear algebra, real analysis, differential equations, coordinate geometry, trigonometry, elementary number theory, combinatorics, and probability. This book serves as a bridge between high school problem-solving and graduate-level mathematical research.

The second edition includes comprehensive sections on quadratic polynomials, curves in the plane, quadratic fields, combinatorics of numbers, and graph theory. It features a large collection of nearly 1300 problems and examples, many of which are original contributions. Detailed solutions are provided for all problems, making this an ideal resource for independent study, undergraduate and graduate students, teachers, and researchers.

With an emphasis on developing problem-solving skills for the W.L. Putnam Mathematical Competition, Putnam and Beyond aids readers in transitioning to university mathematics and prepares them for advanced mathematical research. It is also a valuable text for a variety of problem-solving courses and a source of challenging problems for standard undergraduate mathematics curricula.